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Lecture2

# 6 notes example 9 suppose we rolled a fair sixsided

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Unformatted text preview: 4 Hence we get P(A) = 1 − P(Ac ) 2.6 Notes Example 9 Suppose we rolled a fair, six–sided die 10 times. Let T be the event that we roll at least 1 three. If one were to calculate T you would need to ﬁnd the probability of 1 three, 2 threes, · · · , and 10 threes and add them all up. However, you can use the complement rule to calculate P(T ) Venn Diagrams; Probability Laws Notes Set Operations and Relations Venn Diagram Solution. 2.7 Venn Diagram Venn Diagrams; Probability Laws A Venn diagram is a diagram that shows all possible logical relations between a ﬁnite collection of sets. Set Operations and Relations Venn Diagram 2.8 Notes General Addition Rule Venn Diagrams; Probability Laws Notes The general addition rule is a way of ﬁnding the probability of a union of 2 events. It is P(A ∪ B ) = P(A) + P(B ) − P(A ∩ B ) Set Operations and Relations Venn Diagram 2.9 Inclusion–Exclusion Principle The inclusion–exclusion principle is a way to extend the general addition rule to...
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